3393640800 has 756 divisors, whose sum is σ = 14165398044. Its totient is φ = 786931200.

The previous prime is 3393640799. The next prime is 3393640829. The reversal of 3393640800 is 80463933.

3393640800 is a `hidden beast` number, since 3 + 3 + 9 + 3 + 640 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 147549589 + ... + 147549611.

It is an arithmetic number, because the mean of its divisors is an integer number (18737299).

Almost surely, 2^3393640800 is an apocalyptic number.

3393640800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3393640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082699022).

3393640800 is an abundant number, since it is smaller than the sum of its proper divisors (10771757244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3393640800 is a wasteful number, since it uses less digits than its factorization.

3393640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3393640800 is about 58254.9637370070. The cubic root of 3393640800 is about 1502.7565312539.

The spelling of 3393640800 in words is "three billion, three hundred ninety-three million, six hundred forty thousand, eight hundred".